What is the length of the dotted line in the diagram below? Round to the nearest tenth. *Will mark brainliest*

What Is The Length Of The Dotted Line In The Diagram Below? Round To The Nearest Tenth. *Will Mark Brainliest*

Answers

Answer 1

Answer:

The dotted line is 4.9

Step-by-step explanation:

The lower triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

2^2 + 4^2 = c^2

4+16 = c^2

20 =c^2

Taking the square root of each side

sqrt(20) = c

The upper rectangle has a length of sqrt(20) and a height of 2

We can use the  Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse  to find the  diagonal

2^2 + (sqrt(20))^2 = c^2

4+20 = c^2

24 = c^2

Taking the square root of each side

sqrt(24) = c

4.898979486=c

Rounding to the nearest tenth

4.9 =c


Related Questions


At Tubman Middle School, there are 6 English teachers and 5 science teachers. If each
student takes one English class and one science class how many possible combinations of
teachers are there?

Answers

There are 30 possible combinations of teachers.

Given that at Tubman Middle School, there are 6 English teachers and 5 science teachers, to determine, if each student takes one English class and one science class, how many possible combinations of teachers are there, the following calculation must be performed:

To calculate possible combinations, the number of options A must be multiplied by the number of options B. Thus, the calculation would be as follows.

6 x 5 = X30 = X

Therefore, there are 30 possible combinations of teachers.

Learn more about combinations in https://brainly.com/question/24180105.

The area CA) of a Parallelogram is found by using this formula A = BH What is the area when b is 7cm and h is 3cm?​

Answers

Answer:

Area of parallelogram = 21

Step-by-step explanation:

A = BH

Plug in

A = 7×3

Solve

A = 21

The answer will be 21.

Find the sum of all the numbers between 100 and 200 which are divisible by 7.​

Answers

Answer:

2107

Step-by-step explanation:

In this type of question we have to follow these steps

1) Find the biggest number in interval which is divisible by seven

For this question it is 196

2)Find the smallest number in interval which is divisible by seven

For this question it is 105

3) Then subtract 105 from 196

196-105=91

4) Divide 91 by seven

91:7=13

5)Lastly we have to add 1 to the 13

13+1=14

So we found that we have 14 different numbers that divisible by seven in this interval. So next steps will be about sum of them

To find them sum we have a formula:

  (biggest number + smaller number) x number of terms / 2

      (196+105) x 14 /2  = 2107

The table below shows the estimated number of customers that are subscribed to a streaming service between 2013 and 2017. The equation y=95,000(1.2)x describes the curve of best fit for the subscribed customers (y). Let x represent the number of years since 2013.

Year Subscribed Customers
2013 95,000
2014 114,000
2015 136,800
2016 164,160
2017 196,992
Using this equation, what is the approximate predicted number of subscribed customers in the year 2025?

A
236,390

B
847,030

C
1,016,435

D
1,368,000

Answers

Answer:

B847,030

Step-by-step explanation:

y=95,000(1.2)^x

2025 - 2013 = 12

y=95,000(1.2)^12

y=847029.54258

Simplifying Please Help!

Answers

Answer: C. 6x+18

Step-by-step explanation:

Use the distributive property

First multiply 6 times x which is 6x

Then multiply 6 times 3 which is 18

Keep the sign the same

Therefore, this should give you 6x+18

Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-3x+
3x + = 0

Answers

Answer:

Is E

explanation:


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Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.

Answers

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

[tex]\frac{3^4}{3^2}[/tex]

Simplify.

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].

Therefore, simplify:

[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]9[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the length of x. Assume the triangles are similar.

A. 25
B. 12
C. 20
D. 19

Answers

Answer:

C=20

Step-by-step explanation:

The value of x is 20. so option C is correct.

What are corresponding sides?

In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.

For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.

Find the length of x. Let Assume the triangles are similar.

x/ 12 = 10/ 6

Cross multiplication;

x/ 12 = 10/ 6

x = 12 ( 10/ 6)

x = 20

Hence, the value of x is 20. so option C is correct.

Learn more about similar figure;

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2cos pi/16* cos 11pi
/6* cos pi/4*cos 3pi/8

Answers

Answer:

0.00065104166

Step-by-step explanation:

Which of the following points lies on the graph of the equation y = 2x +5.

(2, 7)

(4, 9)

(0, 2)

(2, 9)

Answers

(2, 9)

Step by step explanation: in order to graph the equation you can simply substitute for x and solve for y, or plug in the equation into your graphing calculator.

Which is the initial value that shrinks an exponential growth function by 50%? One-fifth One-fourth One-third One-half

Answers

Answer:

One-half

Step-by-step explanation:

Given

Exponential function

Required

The initial value that shrinks the function by [tex]50\%[/tex]

An exponential function is represented as:

[tex]y = ab^x[/tex]

Where the growth function is:

[tex]r = b^x[/tex]

[tex]a \to[/tex] initial value

For the growth function to shrink by x%, then:

[tex]a =1 - x\%[/tex]

In this case; x = 50. So, we have:

[tex]a =1 - 50\%[/tex]

Express as fraction

[tex]a =1 - \frac{50}{100}[/tex]

Take LCM

[tex]a =\frac{100 -50}{100}[/tex]

[tex]a =\frac{50}{100}[/tex]

Reduce fraction

[tex]a =\frac{1}{2}[/tex]

Answer:

It's D on edge :D

Step-by-step explanation:

There are 170 students in year 7 at a school
All of these students either walk to school, get the bus to school or cycle to school.
82 of the students are boys
33 of the students get the bus to school.
19 of the 41 students that walk to school are boys.
56 girls eyele to school.
Complete the two way table.
Walk
Bus
Cyele
Total
Boy's
Girls
Total

Answers

Answer:

            Boys          Girls               Total

Walk      19              22                   41

Bus        23              10                   33

Cycle     40             56                   96

Total      82              88                  170

On a piece of paper, graph y= see pic

Answers

Answer:

a

Step-by-step explanation:

assuming theyre asking you to graph y = (x-2)(x+3)  -cant see the signs in your photo

the x-intercepts would be 2 and -3 , so option a!

Can somone help me pls

Answers

Answer:

Step-by-step explanation:

Which value of x satisfies the equation

Answers

Answer:

Does the answer help you?

Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!

Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!!

Answers

Step-by-step explanation:

<TOS=122° [being vertically opposite angle]

Answer:

angleTOS =122°

EXPLANATION:

[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°

Question 1
Is the expression x^3• x^3•x^3 equivalent to x^3•3•3 ? Why or why not? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

x^3• x^3•x^3

We add the exponents

x^(3+3+3) = x^9

x^3•3•3 x^3 *9

9x^3

These are not equal unless

x^9 = 9x^3

Round 71.916476787 to 1 decimal place.

Answers

Answer:

71.9

Step-by-step explanation:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit.

After rounding 71.916476787 to 1 decimal place we get 71.9.

What is rounding of numbers ?

We round numbers to get an approximate value of the given number in more compact form and which is easy to work with.

According to the given question we have to round 71.916476787  to 1 decimal place.

So, to round 71.916476787 to 1 decimal place we'll look at the digit of 2 decimal place here in this number it is 1 hence it is less than 5 so we can make all the digits after 1 decimal places zero and rewrite this number as

71.900000000 and we know zeroes are meaning less to the right of the decimal so this can be written as 71.9.

learn more about rounding of numbers :

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4x+1+8-x+5x-2=23 linear equations

Answers

Step-by-step explanation:

= 4x-x+5x+1+8-2

=8x+7

proved##

Given f(x) = - 3/4x + 2, find f(16).

Answers

Answer:

-10

Step-by-step explanation:

Help plzzzz!!!!!!! thank you .

Answers

Answer:

120°

Step-by-step explanation:

<U + <T = 180

or, 6x-6+9x+21=180

or, 15x=165

or, x=11

so, <T = 9×11+21 = 120

Help please............./..

Answers

Answer:

D

Step-by-step explanation:

Topic: Differential Calculus; limit of a function

Answers

Answer:

umm answer is 3 i think is this right?

0

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?

Answers

Answer:

8 inches

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

A rhombus has 4 equal sides and the diagonal bisect at right angles

Adjacent sides = 9/2 = 4.5

we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54

Cos 54 = adjacent / hypotenuse

0.58778 = 4.5 / hypotenuse

hypotenuse = 4.5 / 0.58778

=7.6559

= 8 inches

I need help ASAP!! PLEASE EXPLAIN YOUR ANSWER

Answers

Answer:

Step-by-step explanation:

The graph of the invertible function g is shown on the grid below.
What is the value of g^-1(-8)

Answers

Answer:  7

=======================================================

Explanation:

The result of [tex]g^{-1}(-8)[/tex] is the same as trying to find x in [tex]g(x) = -8[/tex]

Draw a horizontal line through -8 on the y axis. This horizontal line intersects the curve at point P. From point P, move upward until you reach the x axis. You should get to 7 on the x axis. Therefore, the solution to [tex]g(x) = -8[/tex] is [tex]x = 7[/tex]. In other words, [tex]g(7) = -8[/tex]. This ultimately means [tex]g^{-1}(-8) = 7[/tex]

Refer to the diagram below.

solve the equation 3(17x-6.5)=108

a. x=-1.5
b. x=2
c. x=2.5
d. x=5.2

Answers

Answer:

C

Step-by-step explanation:

3(17x-6.5) =108

=17x-6.5=36

=17x =36 +6.5

= 17x=42.4

=x =2.5

Answer:

x= 2.5

Step-by-step explanation:

3(17x-6.5)=108

Divide each side by 3

3/3(17x-6.5)=108/3

17x - 6.5 = 36

Add 6.5 to each side

17x-6.5+6.5=36+6.5

17x = 42.5

Divide by 17

17x/17 = 42.5/17

x= 2.5

Please hurry I will mark you brainliest
1. Explain a situation where you would expect to have a partial variation.
What makes this example a partial variation?

2. Explain a situation where you would expect to have a direct variation.
What makes this example a direct variation?

You can include a diagram/graph in your explanation if you wish.

Answers

Answer:

Here's the answers

Step-by-step explanation:

1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.

2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

C

Step-by-step explanation:

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